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Finding the Fourth Proportional to 2,389.40, 3,584.18 and 658.04

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Solution

The fourth proportional to 2,389.40, 3,584.18 and 658.04 is: 987.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.40 : 3,584.18 = 658.04 : x
  2. Step 2: Convert to fraction form
    2,389.40/3,584.18 = 658.04/x
  3. Step 3: Cross multiply
    2,389.40x = 3,584.18 × 658.04
  4. Step 4: Simplify right side
    2,389.40x = 2,358,533.81
  5. Step 5: Solve for x
    x = 2,358,533.81/2,389.40
  6. Step 6: Final answer
    x = 987.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.